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Finding the Fourth Proportional to 7,163.76, 10,745.14 and 3,002.25

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Solution

The fourth proportional to 7,163.76, 10,745.14 and 3,002.25 is: 4,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.76 : 10,745.14 = 3,002.25 : x
  2. Step 2: Convert to fraction form
    7,163.76/10,745.14 = 3,002.25/x
  3. Step 3: Cross multiply
    7,163.76x = 10,745.14 × 3,002.25
  4. Step 4: Simplify right side
    7,163.76x = 32,259,596.57
  5. Step 5: Solve for x
    x = 32,259,596.57/7,163.76
  6. Step 6: Final answer
    x = 4,503.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.